One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities

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Main Authors: Dall'Agata, Gianguido, Zwirner, Fabio
Format: Preprint
Published: 2024
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author Dall'Agata, Gianguido
Zwirner, Fabio
author_facet Dall'Agata, Gianguido
Zwirner, Fabio
contents We perform a systematic analysis of the one-loop effective potential of pure $d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarz compactification on the circle, as a function of the radial modulus. We discuss the precise correspondence between the effective potential $V_1$ in the full compactified theory and its counterpart $V_{1,red}$ in the reduced theory. We confirm that $V_1$ is finite for any $N>0$, in contrast to $V_{1,red}$. We find that for broken $N=8$ supergravity $V_1$ is negative definite even after accounting for the Kaluza-Klein states. We outline a program for future work where the study of a different kind of Scherk-Schwarz compactifications, still at the field theory level but with at least three extra dimensions, could lead to qualitatively new results.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02480
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities
Dall'Agata, Gianguido
Zwirner, Fabio
High Energy Physics - Theory
We perform a systematic analysis of the one-loop effective potential of pure $d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarz compactification on the circle, as a function of the radial modulus. We discuss the precise correspondence between the effective potential $V_1$ in the full compactified theory and its counterpart $V_{1,red}$ in the reduced theory. We confirm that $V_1$ is finite for any $N>0$, in contrast to $V_{1,red}$. We find that for broken $N=8$ supergravity $V_1$ is negative definite even after accounting for the Kaluza-Klein states. We outline a program for future work where the study of a different kind of Scherk-Schwarz compactifications, still at the field theory level but with at least three extra dimensions, could lead to qualitatively new results.
title One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities
topic High Energy Physics - Theory
url https://arxiv.org/abs/2401.02480